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Finding the Fourth Proportional to 16,671, 23,005.98 and 9,219

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Solution

The fourth proportional to 16,671, 23,005.98 and 9,219 is: 12,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,671 : 23,005.98 = 9,219 : x
  2. Step 2: Convert to fraction form
    16,671/23,005.98 = 9,219/x
  3. Step 3: Cross multiply
    16,671x = 23,005.98 × 9,219
  4. Step 4: Simplify right side
    16,671x = 212,092,129.62
  5. Step 5: Solve for x
    x = 212,092,129.62/16,671
  6. Step 6: Final answer
    x = 12,722.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.